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Finding the Fourth Proportional to 5,236.05, 7,855.02 and 1,726.26

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Solution

The fourth proportional to 5,236.05, 7,855.02 and 1,726.26 is: 2,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.05 : 7,855.02 = 1,726.26 : x
  2. Step 2: Convert to fraction form
    5,236.05/7,855.02 = 1,726.26/x
  3. Step 3: Cross multiply
    5,236.05x = 7,855.02 × 1,726.26
  4. Step 4: Simplify right side
    5,236.05x = 13,559,806.83
  5. Step 5: Solve for x
    x = 13,559,806.83/5,236.05
  6. Step 6: Final answer
    x = 2,589.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.